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Homological Computations in PBW Modules

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Abstract

In this paper the Poincaré–Birkhoff–Witt (PBW) rings are characterized. Gröbner bases techniques are also developed for these rings. An explicit presentation of Exti(M,N) is provided when N is a centralizing bimodule.

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Authors and Affiliations

  1. Departamento de Algebra, Facultad de Ciencias, Universidad de Granada, Ave Fuentenueva s/n, E-18071, Granada, Spain. e-mail

    José L. Bueso, J. Gómez-Torrecillas & F. J. Lobillo

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  1. José L. Bueso
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  2. J. Gómez-Torrecillas
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  3. F. J. Lobillo
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Bueso, J.L., Gómez-Torrecillas, J. & Lobillo, F.J. Homological Computations in PBW Modules. Algebras and Representation Theory 4, 201–218 (2001). https://doi.org/10.1023/A:1011455831400

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